Question

In linear regression, if we have independent variable “drug dosage” along the x -axis and the dependent variable “hours of sleep” along the y-axis, then interpret regression lines with a steep negative slope, a flat horizontal line through the data, and a steep positive slope in terms of how the independent variable affects the dependent variable

Answer #1

**when the slope is negative**

In this case, the dependent variable will decrease for 1 unit change in the independent variable by the slope value. this means that if the slope value is -2, then for every unit change in the independent variable, the dependent variable decreases by 2 units.

**when the slope is a flat horizontal line or
flat**

In this case, the dependent variable will not affect the independent variable because the slope value is 0 in case of flat or horizontal line

**when the slope is positive**

In this case, the dependent variable will increase for 1 unit change in the independent variable by the slope value. this means that if the slope value is 2, then for every unit change in the independent variable, the dependent variable increases by 2 units.

19. In a linear regression model if the mean of the
independent variable data is 10, the mean of the
dependent
variable data is 75 and the
slope is 5, the intercept is
a. 25
b. 7
c. -25
d. 13
20. In a linear regression model if the mean of the
independent variable data is 10, the mean of the
dependent
variable data is 75 and the
slope is 5, if xequals 15, the forecast,
y, is
a. 75...

Find an image on the Internet of a linear regression graph.
The image you choose should have the horizontal and vertical
axes labeled with units and you should be able to locate the
regression equation.
If you are stuck, search for linear regression.
For the image you chose:
What does the slope of the equation represent in terms of the
units on the axes?
What do the x-intercept and y-intercept represent in terms of
the units on the axes?
Identify...

Suppose we have the following values for the linear function
relating X and Y (where Y is the dependent variable and X is the
independent variable:
X Y
0 45
1 25
2 5
What is the value of the slope for this straight line?

A sample of 12 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=77, SST=88, summation (x_i-xbar)2=23,
summation (x_i-xbar)(y_i-ybar)=44.
Calculate the t test statistics to determine whether a
statistically linear relationship exists between x and y.
A sample of 7 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=24, SST=42
Using a 0.05 level of significance,...

THE EQUATION OF THE
REGRESSION LINE IS Y = a+ bX. MATCH THE FOLLOWING SYMBOLS TO THE
DESCRIPTION TO THE RIGHT.
1. DENOTES THE VARIABLE PLOTTED
ON THE HORIZONTAL AXIS AND CALLED THE VARIABLE.THE EXPLANTORY OR
INDEPENDENT VARIABLE..
2. . Denotes the variable
plotted on the vertical axis and is called the response OR
DEPENDENT VARIABLE.
3. THE RGRESSION RESULT = THE
CHANGE IN Y FOR A CHANGE IN X +1 AND CALLED THE SLOPE
4. THE PROPORTION OF THE
VARIABILITY OF Y THAT...

Develop a regression model of dependent variable Y over an
independent variable X. It is given the estimate of intercept is 11
and estimate of slope is 1.25. What is the value of Y when X=4

Suppose we have the
following values for the linear function relating X and Y (where Y
is the dependent variable and X is the independent variable:
X Y
0 45
1 25
2 5
What is the value of
the slope for this straight line?
Question 3 options:
25
20
-20
-10

A sample of 5 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
summation (x_i-xbar)2=15, summation
(x_i-xbar)(y_i-ybar)=60, xbar=3, ybar=10
Calculate the y-intercept (b_0) of the estimated regression
equation.
A sample of 11 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
summation (x_i-xbar)2=22, summation
(x_i-xbar)(y_i-ybar)=64, xbar=3, ybar=10
Calculate the slope of the estimated regression equation.
A sample of...

In linear regression, the independent variable is called the
a. Response Variable
b. The explanatory variable
c. The extrapolted variable
d. an outlier
A graph that will help to one to see what type of curve might
best fit the bivariate data
a. Pie chart
b. stem-leaf plot
c. dot plot
d. scatter plot
The technique of extending a regression line beyond the region
of the actual data
a. Least Squares Regression
b. Variability
c. Extrapolation
d. Residual analysis
The...

Multiple linear regression results:
Dependent Variable: Cost
Independent Variable(s): Summated Rating
Cost = -43.111788 + 1.468875 Summated Rating
Parameter estimates:
Parameter
Estimate
Std. Err.
Alternative
DF
T-Stat
P-value
Intercept
-43.111788
10.56402
≠ 0
98
-4.0810021
<0.0001
Summated Rating
1.468875
0.17012937
≠ 0
98
8.633871
<0.0001
Analysis of variance table for multiple regression model:
Source
DF
SS
MS
F-stat
P-value
Model
1
8126.7714
8126.7714
74.543729
<0.0001
Error
98
10683.979
109.02019
Total
99
18810.75
Summary of fit:
Root MSE: 10.441273
R-squared: 0.432...

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